What is the LCM of 2/3, 4/6, 8/27?
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A.
Mon Aug 03 2026 00:00:00 GMT+0000 (Coordinated Universal Time)
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B.
Tue Feb 03 2026 00:00:00 GMT+0000 (Coordinated Universal Time)
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C.
Fri Feb 27 2026 00:00:00 GMT+0000 (Coordinated Universal Time)
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D.
Thu Aug 27 2026 00:00:00 GMT+0000 (Coordinated Universal Time)
Correct Answer:
A. Mon Aug 03 2026 00:00:00 GMT+0000 (Coordinated Universal Time)
Explanation:
To determine the Least Common Multiple (LCM) of fractions, use the formula: LCM of fractions = (LCM of Numerators) / (HCF of Denominators).1. Identify the numerators: The numerators are 2, 4, and 8. The smallest number that 2, 4, and 8 can all divide into is 8. Thus, LCM(2, 4, 8) = 8.
2. Identify the denominators: The denominators are 3, 6, and 27. The largest number that divides 3, 6, and 27 without a remainder is 3. Thus, HCF(3, 6, 27) = 3.
3. Apply the formula: Combine these results to get 8/3.The LCM of 2/3, 4/6, and 8/27 is 8/3.
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